Determine if the data are linearly correlated for significance levels of 0.05 and 0.01 . Also, give the critical \( r \) values for these significance levels using Table A-6 in the textbook.
TABLE A-6 Critical Values of the
Critical Values of the Pearson Correlation Coefficient \( r \)
\begin{tabular}{|c|c|c|}
\hline 0 & \( a=, 05 \) & \( a=.01 \) \\
\hline 4 & 900 & 900 \\
\hline 5 & \( M \) & 969 \\
\hline 6 & 811 & 917 \\
\hline 7 & 754 & 875 \\
\hline & 307 & 834 \\
\hline 9 & 666 & 796 \\
\hline 10 & 632 & 765 \\
\hline 11 & 602 & .75 \\
\hline 12 & 576 &.\( \pi 6 \) \\
\hline 13 & .553 & 684 \\
\hline 14 & 592 & 61 \\
\hline 15 & 514 & \( 6+1 \) \\
\hline 16 & A97 & \( =623 \) \\
\hline 17 & 462 & .506 \\
\hline it & A6A & 590 \\
\hline 19 & 254 & 575 \\
\hline 20 & A44 & 561 \\
\hline x & 36 & 566 \\
\hline 30 & 361 & 40 \\
\hline \( \mathbf{3 5} \) & 295 & 40 \\
\hline 4) & \( 3 n \) & \( a x e \) \\
\hline 45 & 294 & 378 \\
\hline 50 & 279 & \( \$ 61 \) \\
\hline 10 & 254 & \( \pm 0 \) \\
\hline\( \pi \) & 200 & .06 \\
\hline \( \mathrm{n} \) & 201 & 500 \\
\hline 90 & 207 & 200 \\
\hline 100 & .156 & \( \% 6 \) \\
\hline
\end{tabular}
For alpha \( =0.05 \) :